Theory of Mechanoluminescence of coloured alkali halide crystals using pressure steps
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1 They f Mechaluecece f clue alkal hale cyal ug eue e Muzzal Aha Bha, R.K. aua, Shab Aha, Deae f Phyc, RDVV, Jabalu (a, Deae f Phyc, Jaa Mlla laa, ew Delh (a \ ABSTRACT The heecal aach he ML uce by he alca f la clue alkal hale cyal. hw ha he e-ca f he e f eue a he g e f lca a he wk haeg e ca be eee f he eauee f he e eeece f ML a he eue eeece f ML. Keyw: Mechaluecece, Dlca, clue alkal hale cyal. TRODUCTO M f he ue he ML hae bee ae ehe ug lw efa f he cyal ug facue f he cyal. Oly le ue hae bee ae he ML uce ug he alca f la he cyal. Pelay e f he ML e ug alca f eue clue alkal hale cyal wee ge by Ubach (9 a Tk (98. Kyugl e al. (966 hae ae a yeac uy f he luecece uce by lac efa f γ-aae KCl cyal f a e lwe ha he elac l u he beakw e f he cyal. They hae ee ha he luecece f γ-aae KCl cyal uce by lac efa ccu ug lag f a e lwe ha he elac l he beakw e f he cyal. A lay bewee he e-a cue a he la luecece cue eablhe. A luecece yel e f he aae cyal ca be eee f he la-luecece cue. Sue l ba fa, e-aa eae f he cyal, a he effec f ae f la alca hae bee eee. Qualae fa abu he aue f he luecece uce ug he efa ge. A eae el f he luecece hee f he a f he elac efa u he e ue whch he cyal healy efe ha bee ee. The el bae he fac ha he eg au lca ca a hghe ccea f clu cee ha he aeage ccea he bulk. The ably uce he eg f hgh ccea f clu cee uce a ceable au f luecece ke he luecece uce a hgh ee ae ue he fa f l ba. 8 P a g e
2 . MECHASM O ML DUCED B ELASTC DEORMATO O COLOURED ALKAL HALDE CRSTALS US PRESSURE-STEPS Whe a eue ale a cyal, ally he eue ceae wh e a he aa a fal alue P. f η he e ca f e f eue, P he he ceae f eue wh e ay be ge P P ( / P whee, ξ = /η, he ae-ca f he e f eue wh e ( f he ug' ulu f elacy f he cyal, he he elac eg he a ε uce he cyal ay be ee a P [ ( ] --- ( whee, P / he axu a f a ge eue P. eq. (, he a ae P ay be ee a --- ( Ceg ha he ae f geea f beg ege f he lca al he a ae, he we ay we --- (4 whee B he aly ca, δ = /η, a he ube f beg lca ege a ay e. egag eq. (4 a akg = a =, we ge --- (5 f he aeage elcy f he beg f he lca ege, he he ae f aea we u by he lca ege ay be ee a S ---- (6 The ae f geea f he eacg -cee a he geea f elec he lca ba ay be we a --- (7 8 P a g e
3 8 P a g e f α he ae ca f jug f he elec f eacg cee he lca ba lyg ju abe he cee leel, a α he ae ca f he g back f he elec f he eacg leel (Chaa 998, he we ca we he fllwg ae equa --- (8 whee, α = (α + α, a /α = η, he lfee f eacg cee he ag e f he ege f lca. egag eq. (8 a akg =, a =, we ge --- (9 α >>ξ, a α >> δ, we ge --- ( Thu, he ae f geea f f elec he lca ba ge by, --- ( whee, a = α /α, he effcecy f he caue f eacg - cee elec by he lca ege. X γ aae alkal hale cyal, he ML e ake lace ue he ee f elec wh lca ege a well a ue he ee f elec alg he lca ax. Sue ζ, ζ a ζ a ζ`, ζ` a ζ` ae he caue c ec f he hle cee, egae acace a he a f he elec g wh elcy gehe wh he lca ege a elec g wh elcy e alg he lca ax, eecely, a f, a ae he ee f hle cee, egae acace a he cee, eecely, he we ca we he fllwg ae equa e, ( ( g ( ( ( ( ---- ( Hee, β = ζ, β = ζ, β = ζ, β` = ζ` e, β` = ζ` e, β` = ζ` e, β = (β + β + β, β`= (β`+ β`+ β` a β = β + β`
4 8 P a g e egag eq. ( a akg =, a =, we ge ( ( ( --- ( Whe he eue ale he cyal ceae lwly, he P/ ε/ le. Theefe, h cae, β >> ξ, a β >> δ, a eq.( ay be ee a --- (4 f η he effcecy f aae elec hle ecba, he he ML ey ay be ee a ( ( ---- (5 << e, β << β', a β << β', a hu eq. (5 ay be we a ( ( --- (6 ( Re f ML ey eq. (6 e f ML ey ay be ee a --- (7 Equa (7 cae ha ally he ML ey hul ceae lealy wh e. ( Ea f,, a T Equa (6 cae ha he ML ey wll be axu a a e ge by l --- (8 eq. (6 a (8, he axu ML ey ay be ee a, / --- (9 ξ >> δ, eq. (9 ay be ee a --- ( Ug eq. (6, he al egae ML ey T, ay be ge by
5 T --- ( ( Decay f ML ey Equa (6 ay be we a,, f (ξ δ >>,eq.( ay be ee a, whee --- (, he elae alue f, a = ( The abe equa cae ha he eal ecay f ML ey wh e whee he ecay e wll be equal he ag e f he lca ege. Thu, δ = /η, ca be eee f he le f l eu ( l, a f δ a ae kw, ξ ca be ealuae ug equa (8. ( Peue eeece f, a T A ξ >>δ, a δ ceae wh eue, eq. (8 cae ha hul eceae lghly wh ceag eue. A he bh δ a ceae wh he a ae, we ay ake = Dδ, whee D a ca. Thu, eq.( a ( ay be ee a a, T D BDP --- (4 --- (5 Equa (4 cae ha /δ hul ceae lealy wh P, a eq. (5 cae ha T hul ceae lealy wh P. ( Cla eeece f a T ee f eq. (4 a (5 ha bh a T hul ceae lealy wh he ey f -cee. ( Teeaue Deeece f, a T The effcecy ceae wh eeaue a ay be ee a (Chaa P a g e
6 whee, E a he aca eegy a eq. (4, (5 a (6, we ge a T E a kt --- (6 a ca. BDP Ea BDP Ea / kt / kt --- (7 --- (8 A lw eeaue hee wll be heal bleachg, a bh a T a a ge eue hul ceae wh ceag f he cyal eeaue a he eeece f /δ T a T T hul fllw he Aheu l. A hghe eeaue, wll eceae wh ceag eeaue becaue f heal bleachg a cequely bh a T hul eceae wh ceag eeaue. Thu, bh a T hul be u f a acula eeaue f he clue alkal hale cyal.. COCLUSOS The a cclu aw f he ue f he ML uce by alca f eue e clue alkal hale cyal ae he ML X γ-aae alkal hale cyal ca be uce by alyg uaxal eue uch belw he ccal e f he l f elacy. Whe a uaxal eue uch belw he elacy l ale γ-aae alkal hale cyal, he ally he ML ey ceae wh e, aa a eak alue a lae eceae eally wh e. clue alkal hale cyal he alue f bh a T ceae wh eue a al wh he ey f -cee he cyal. Bh a T ae u f a acula eeaue f he cyal. he eauee f he e eeece f ML ey clue alkal hale cyal, he alue f e e f η f eue, ag e f lca ege, g e f lca, a he wk haeg e ca be eee. REERECES [] Chaa B.P., Luecece f Sl, ee by D.R. Vj, Pleu Pe, ew k,998, [] Xu, C.., Waaabe, T. Akyaa, M. a Zheg, X.., Al. Phy. Le.,999, 74, 6-8. [] Chaa, B. P., Baghel R.., Luka, A.K. Saa T.R., Kuaya R.K., a Kuaya, S.R.,J. Lu. 9, 9, [4] Chaa, B. P.a Zk, J.., Phy. Re. B, 98,, [5] K, J.S. Kw,.., Sh M. a Sh, K.S. Al. Phy. Le., 7, 9, P a g e
7 [6] Sage., Hubee, L., ee., Ke M., Bh S. a Buhll., Sa Mae.Suc.,, -7. [7] Dae J.., Re by he Seceay f Ay, USA Pae. 47, 98. [8] Aa S. a Ta J., Pwe Techlgy, 4, [9] Mez.., Schwege R.., Lee H.R. a falc L.A., J. Phy. Che.,957, 6, [] Kugl A.S., El-Shaay.A., a Maa M.K., J. Phy. Sc. J. 996,, [] Bule C.T., Phy. Re. 966,4, [] Alzea., Chuacek. a Scazz R., Phyca Sau Sl (a 97,, [] Wal A.J., A. Phy. 977, 6, [4] Oya A. u a Shuak S.Z., Defec ulag Cyal, Pf.. Cf; Ee bytuchkech. M. a Schwa K.K. (Sge Velag, Bel, 98, [5] Al-Hah A., E A.M., Ege K. V. a Malla J.R., Raa Pec Dey98,6, -5. [6] E A. M., Mua A.; EL-A E.M. a Ege K.V., Egya J. Sl, 986, 8, [7] Haghaa T., Hayahuch., Kaja., aa., Ohwak S. a Okaa T., Phy.Le. A, 989,7, -6. [8] Hayahuch., Haghaa T. a Okaa T., Phy. Le. A,99,47, [9] Mlk M.., S. Sc. Re. B :Che.,989,, -85. [] Ohgaku T., Suzuk K. a abe K., Phy, Sau Sl (a,, 9,-8. [] Ohgaku T., a abe K., Ra Pe. D, 6, 9, 98-. [] akaua S., Ohgaku T. a abe K., Maeal Scece a Egeeg A, 6, 44,67-7. [] Chaa B.P. a Elya M. Kall U. Tech. 978,, 4-4. [4] Chaa B.P. Elya M. a Majua B., Phy. Sa. Sl. (a, 98, 79,95-5. [5] Chaa B.P., Raakhya M., Sahu P. a Rag A.M., Paaa-J. Phy.,, 54,87-. [6] Chaa B.P., J. Phy; D. Al. Phy, 984, 7,7-. [7] Chaa B.P. a Raakhya M., Phy. Sa. Sl. (a, 99, 4, [8] Chaa B.P., Raa Effec a Defec Sl. 996, 8,7-7. [9] Chaa B.P., Sgh S., Ojha B. a Shaaa R.., Paaa-J. Phy., 996, 46,7-4. [] Chaa B.P. a Be D.P., Phy. Sa. Sl. (a,99., K-.K4. [] Chaa B.P., J. Lu,,8, 8, 7-4. [] Chaa B.P., Baghel R.., Luka A.K. a Sgh P., Raa Effec a Defec Sl, 9,64, P a g e
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